Universal R-matrix formalism for the spin Calogero-Moser system and its difference counterpart
Abstract
The expression of the quantum Ruijsenaars-Schneider Hamiltonian is obtained in the framework of the dynamical R-matrix formalism. This generalizes to the case of Uq(sln) the result obtained by O. Babelon, D. Bernard and E. Billey for Uq(sl2) which is the higher difference Lame operator. The general method involved is the universal R-matrix construction.
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